Finding the Third Proportional to 6,009 and 10,333.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,009 : 10,333.50 = 10,333.50 : x
2. Step 2: Convert to fraction form
   6,009/10,333.50 = 10,333.50/x
3. Step 3: Cross multiply
   6,009x = 10,333.50 × 10,333.50
4. Step 4: Simplify right side
   6,009x = 106,781,222.25
5. Step 5: Solve for x
   x = 106,781,222.25/6,009
6. Step 6: Final answer
   x = 17,770.22